Least Common Multiple of 9552/986, 5656/7677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9552/986, 5656/7677 quickly i.e. 6753264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9552/986, 5656/7677 is 6753264.

LCM(9552/986, 5656/7677) = 6753264

LCM of 9552/986, 5656/7677

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9552/986,5656/7677

Given numbers are 9552/986,5656/7677

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9552,5656

Least Common Multiple of Numerators i.e. LCM of 9552,5656 is 6753264.

GCF of Denominators means GCF of 986,7677 as per the given fractions.

GCF of 986,7677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9552,5656

LCM of Fractions 9552/986,5656/7677 is 6753264

2 9552, 5656
2 4776, 2828
2 2388, 1414
1194, 707

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1194 x 707 = 6753264

Least Common Multiple of 9552,5656 with GCF Formula

Least Common Multiple of 9552,5656 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9552,5656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9552,5656) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(9552,5656) x common factors =8 x 1 = 8

LCM(9552,5656) = ( 9552 × 5656 ) / 8

LCM(9552,5656) = 54026112 / 8

LCM(9552,5656) = 6753264


Lets's calculate GCF of 986,7677

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6753264/1

Therefore the LCM of Fractions 9552/986,5656/7677 is 6753264

Greatest Common Factor of 986,7677 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,7677 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 7677

List of positive integer factors of 7677 that divides 7677 without a remainder.

1,3,9,853,2559,7677

Greatest Common Factor

We found the factors 986,7677 . The biggest common factor number is the GCF number.
So the greatest common factor 986,7677 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9552/986, 5656/7677

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9552/986, 5656/7677?

Answer: LCM of Numerators as per given numbers 9552/986, 5656/7677 is

LCM of Numerators i.e. for 9552,5656 is 6753264

GCF of denominators i.e. for 986,7677 is 1.

Thus, LCM of Fractions is 6753264.Finally, LCM of Fractions for 9552/986, 5656/7677 is 6753264.